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Finding the Third Proportional to 156,082 and 337,124

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Solution

The third proportional to 156,082 and 337,124 is: 728,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,082 : 337,124 = 337,124 : x
  2. Step 2: Convert to fraction form
    156,082/337,124 = 337,124/x
  3. Step 3: Cross multiply
    156,082x = 337,124 × 337,124
  4. Step 4: Simplify right side
    156,082x = 113,652,591,376
  5. Step 5: Solve for x
    x = 113,652,591,376/156,082
  6. Step 6: Final answer
    x = 728,159.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.